ConvertOnline

Menu

1. Convert Online
2. Mathematics
3. Geometry
4. Arc Length

\(r\)

(radius)

units

\(θ\)

(angle)

degrees

Arc Length

units

Copy

How to use Arc Length Calculator

1. Enter ✎ value for radius \((r)\).
2. Enter ✎ value for angle \((θ)\).
3. The result appears beneath the inputs as you enter values.

About this calculation

In a sector, the length of arc is distance on the sector that is the part of the circumference of the respective circle.

Formula

To calculate the arc length, you can use the following formula.

Arc Length = \( r θ \frac{\pi}{180} \)

where

Calculation

{
  "topic": "arc-length",
  "img": {
    "width": 230,
    "height": 260
  },
  "input_types": [
    "float",
    "float"
  ],
  "input_labels": [
    "r",
    "θ"
  ],
  "input_values": [
    "8",
    "60"
  ],
  "input_units": [
    "units",
    "degrees"
  ],
  "input_descriptions": [
    "radius",
    "angle"
  ],
  "examples": [
    {
      "r": 10,
      "θ": 180
    },
    {
      "r": 2,
      "θ": 45
    }
  ],
  "type": "Calculate",
  "title": "Arc Length",
  "category": "Geometry",
  "shape": "Sector",
  "formula": " r * θ * ( Math.PI / 180 ) ",
  "formula_mathjax": "\\( r θ \\frac{\\pi}{180} \\)",
  "formula_mathjax_sub": "\\( r \\times θ \\times \\frac{\\pi}{180} \\)",
  "op_label": "Arc Length",
  "output_unit": "units",
  "description": "The arc length calculator calculates the length of arc of a sector by taking its radius and sector angle as inputs.",
  "explanation": "In a sector, the length of arc is distance on the sector that is the part of the circumference of the respective circle."
}